Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings

Abstract

We introduce the notion of a symplectic capacity relative to a coisotropic submanifold of a symplectic manifold, and we construct two examples of such capacities through modifications of the Hofer-Zehnder capacity. As a consequence, we obtain a non-squeezing theorem for symplectic embeddings relative to coisotropic constraints and existence results for leafwise chords on energy surfaces.

33 pages, 4 figures; further corrections thanks to comments from the referee; accepted for publication in Journal of Symplectic Geometry

References in corpus (1)

• Cup-length estimates for leaf-wise intersections

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